Five-Dimensional Bieberbach Groups with Holonomy Group Z2 ⊕ Z2

J. P. Rossetti*, Paulo Tirao

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


In this paper we determine all five-dimensional compact flat Riemannian manifolds with holonomy group Z2 ⊕ Z2. The classification is achieved by classifying their fundamental groups up to isomorphism. The Betti numbers of all these manifolds are also computed.

Original languageEnglish
Pages (from-to)149-172
Number of pages24
JournalGeometriae Dedicata
Issue number2
StatePublished - 1999
Externally publishedYes


  • Bieberbach groups
  • Flat manifolds


Dive into the research topics of 'Five-Dimensional Bieberbach Groups with Holonomy Group Z2 ⊕ Z2'. Together they form a unique fingerprint.

Cite this